Question

Tell me a some basic terms related bijective.

1:A function of F:R --->is defined by f(x)=x²-1,is f one to one an onto.​
2:
A function F:[-2,2]-->R is defined by f(x)=x² is
F one to one and onto.
3:
A function F:[1,4]-->R is defined by f(x)=x³ is
F one to one and onto​

Answer 1

1. f(x) = x² - 1 is an even function.

It has two-to-one relationship since f(-x) = f(x)

The answer is no

2. f(x) = x², same as above, the answer is no

3. The function f(x) = x³ is an odd function and its inverse is:

• f(x) = ∛x, which is also an odd function

Both have one-to-one and onto relationship

The answer is yes